Except that's clearly not the case. There are many stories and literature not based on the Bible. The Chinese classic, Journey to the West, for instance.
Why would truth be the provenance of a particular culture? Moreover, why should you or I be bound to a particular culture's thoughts about truth? And who defines what is and isn't part of our culture? The Bible? Whose version of the Bible? And who interprets it? It seems to me there are many epistemological hurdles we need to cross. So I am very skeptical that Peterson isn't just up to his usual word salad nonsense.
He was talking about the West, the Western Canan of truths we can come to know and base our civilization on. The Chinese may well have some aspects of this truth as it is not something just the West has come to know,
These truth are really universal as they speak of our experiences through time that we have lived out and tested. So they are not something that is subjective. You don't have to be bound by them but they do form the basis for Western civilization by the fact they work.
Truths like all people are equal regardless of status even kings or Emporers are equal and made in the image of God. These are the life truths we have come to realise that all humans to co-exist with free will and justice, equality, dignity, honor, commitment and sacrifice for others. The literatary works, stories and fables passed down which gave our morals and wisedom and life principles that have proven true. These are primarily based on the bible truths and apply to western culture.
These truths are reflected in the way we can identify the west from other cultures. When others say that the west may be the land of the free as opportunity for all regardless of identity, where people can be innocent until proven guilty, a hards days work for a fair reward. These qualities are the truths we have come to know which differentiate us from others.
Now China may disagree as they do with communism and breaching many of those truths but I am sure in their own way they know these truths but apply them in a different way. Like equality they may believe that everyone should be equal in a different way through communism.
But the equality we have come to know based on the biblical truth that all are created equal stands as a foundational truth we have built western culture on and its stood the test of time.
PS these are the same truths that progressives want to dismantle like free speech, Rule of Law, equality, equal opportunity rather than outcomes, the santity of marriage and human nature itself. Believing that humankind holds the ultimate truth and can reconstruct everything in their own image.
Which is another biblical truth that whatever idols we choose to worship is what we will become. So be careful in who you choose as your idol or worship.